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» (k, )-Distance-Hereditary Graphs
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DM
2008
103views more  DM 2008»
14 years 10 months ago
Edge-colorings avoiding rainbow and monochromatic subgraphs
For two graphs G and H, let the mixed anti-Ramsey numbers, maxR(n; G, H), (minR(n; G, H)) be the maximum (minimum) number of colors used in an edge-coloring of a complete graph wi...
Maria Axenovich, Perry Iverson
DIALM
2008
ACM
135views Algorithms» more  DIALM 2008»
14 years 11 months ago
Symmetric range assignment with disjoint MST constraints
If V is a set of n points in the unit square [0, 1]2 , and if R : V + is an assignment of positive real numbers (radii) to to those points, define a graph G(R) as follows: {v, w}...
Eric Schmutz
COMBINATORICA
2008
84views more  COMBINATORICA 2008»
14 years 10 months ago
Parity check matrices and product representations of squares
Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
Assaf Naor, Jacques Verstraëte
JGT
2008
88views more  JGT 2008»
14 years 10 months ago
On k-detour subgraphs of hypercubes
A spanning subgraph G of a graph H is a k-detour subgraph of H if for each pair of vertices x, y V (H), the distance, distG(x, y), between x and y in G exceeds that in H by at mo...
Nana Arizumi, Peter Hamburger, Alexandr V. Kostoch...
ESA
2007
Springer
100views Algorithms» more  ESA 2007»
15 years 4 months ago
Nash Equilibria in Voronoi Games on Graphs
In this paper we study a game where every player is to choose a vertex (facility) in a given undirected graph. All vertices (customers) are then assigned to closest facilities and...
Christoph Dürr, Nguyen Kim Thang